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Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin?
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Two particle of mass m=2kg and m=3kg I located at the distance of 2m f...
Total Angular Momentum of the System
To calculate the total angular momentum of the two particles about the origin, we need to consider their individual contributions, taking into account their masses, speeds, and distances from the origin.
Parameters of the System
- Mass of particle 1 (m1) = 2 kg
- Mass of particle 2 (m2) = 3 kg
- Distance from origin (r) = 2 m
- Speed of both particles (v) = 4 m/s
Angular Momentum Formula
The angular momentum (L) of a particle about a point is given by:
L = m * v * r
Where:
- m = mass of the particle
- v = speed of the particle
- r = distance from the point of rotation
Calculating Angular Momentum for Each Particle
- For Particle 1 (mass = 2 kg, moving counterclockwise):
L1 = m1 * v * r
L1 = 2 kg * 4 m/s * 2 m
L1 = 16 kg·m²/s (counterclockwise)
- For Particle 2 (mass = 3 kg, moving clockwise):
L2 = m2 * v * r
L2 = 3 kg * 4 m/s * 2 m
L2 = 24 kg·m²/s (clockwise)
Since this is in the opposite direction, L2 is negative:
L2 = -24 kg·m²/s
Total Angular Momentum
To find the total angular momentum (L_total), we sum the contributions:
L_total = L1 + L2
L_total = 16 kg·m²/s - 24 kg·m²/s
L_total = -8 kg·m²/s
Conclusion
The total angular momentum of the system about the origin is -8 kg·m²/s, indicating a net angular momentum in the clockwise direction.
To calculate the total angular momentum of the two particles about the origin, we need to consider their individual contributions, taking into account their masses, speeds, and distances from the origin.
Parameters of the System
- Mass of particle 1 (m1) = 2 kg
- Mass of particle 2 (m2) = 3 kg
- Distance from origin (r) = 2 m
- Speed of both particles (v) = 4 m/s
Angular Momentum Formula
The angular momentum (L) of a particle about a point is given by:
L = m * v * r
Where:
- m = mass of the particle
- v = speed of the particle
- r = distance from the point of rotation
Calculating Angular Momentum for Each Particle
- For Particle 1 (mass = 2 kg, moving counterclockwise):
L1 = m1 * v * r
L1 = 2 kg * 4 m/s * 2 m
L1 = 16 kg·m²/s (counterclockwise)
- For Particle 2 (mass = 3 kg, moving clockwise):
L2 = m2 * v * r
L2 = 3 kg * 4 m/s * 2 m
L2 = 24 kg·m²/s (clockwise)
Since this is in the opposite direction, L2 is negative:
L2 = -24 kg·m²/s
Total Angular Momentum
To find the total angular momentum (L_total), we sum the contributions:
L_total = L1 + L2
L_total = 16 kg·m²/s - 24 kg·m²/s
L_total = -8 kg·m²/s
Conclusion
The total angular momentum of the system about the origin is -8 kg·m²/s, indicating a net angular momentum in the clockwise direction.
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Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin?
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Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin?.
Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particle of mass m=2kg and m=3kg I located at the distance of 2m from the origin, if both particles are moving in the same circular path but with opposite direction with speed of 4m/s, what is the total angular momentum of the system about the origin?.
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